%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR022+1 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:11:12 AM UTC 2026 % Result : Theorem 0.39s 0.63s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR022+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:37:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.63 % SZS status Theorem % 0.39/0.63 % SZS output start Proof % 0.39/0.63 ( % 0.39/0.63 (declare-sort $$unsorted 0) % 0.39/0.63 (declare-const tptp.n3 $$unsorted) % 0.39/0.63 (declare-const tptp.n7 $$unsorted) % 0.39/0.63 (declare-const tptp.forwards $$unsorted) % 0.39/0.63 (declare-const tptp.n2 $$unsorted) % 0.39/0.63 (declare-const tptp.backwards $$unsorted) % 0.39/0.63 (declare-const tptp.pull $$unsorted) % 0.39/0.63 (declare-const tptp.spinning $$unsorted) % 0.39/0.63 (declare-const tptp.push $$unsorted) % 0.39/0.63 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.n6 $$unsorted) % 0.39/0.63 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.n9 $$unsorted) % 0.39/0.63 (declare-const tptp.n5 $$unsorted) % 0.39/0.63 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.63 (declare-const tptp.n8 $$unsorted) % 0.39/0.63 (declare-const tptp.n4 $$unsorted) % 0.39/0.63 (declare-const tptp.n0 $$unsorted) % 0.39/0.63 (declare-const tptp.n1 $$unsorted) % 0.39/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.63 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.39/0.63 (define @t1 () (@var "Time" $$unsorted)) % 0.39/0.63 (define @t2 () (@var "Fluent" $$unsorted)) % 0.39/0.63 (define @t3 () (@var "Event" $$unsorted)) % 0.39/0.63 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.39/0.63 (define @t5 () (@var "Time2" $$unsorted)) % 0.39/0.63 (define @t6 () (tptp.less @t1 @t5)) % 0.39/0.63 (define @t7 () (@var "Time1" $$unsorted)) % 0.39/0.63 (define @t8 () (tptp.less @t7 @t1)) % 0.39/0.63 (define @t9 () (tptp.happens @t3 @t1)) % 0.39/0.63 (define @t10 () (@list @t3 @t1)) % 0.39/0.63 (define @t11 () (tptp.initiates @t3 @t2 @t1)) % 0.39/0.63 (define @t12 () (@var "Offset" $$unsorted)) % 0.39/0.63 (define @t13 () (tptp.plus @t1 @t12)) % 0.39/0.63 (define @t14 () (@var "Fluent2" $$unsorted)) % 0.39/0.63 (define @t15 () (tptp.plus @t7 @t5)) % 0.39/0.63 (define @t16 () (@var "Fluent1" $$unsorted)) % 0.39/0.63 (define @t17 () (tptp.plus @t1 tptp.n1)) % 0.39/0.63 (define @t18 () (tptp.holdsAt @t2 @t17)) % 0.39/0.63 (define @t19 () (and @t9 @t4)) % 0.39/0.63 (define @t20 () (@list @t3)) % 0.39/0.63 (define @t21 () (tptp.releasedAt @t2 @t17)) % 0.39/0.63 (define @t22 () (not @t21)) % 0.39/0.63 (define @t23 () (tptp.holdsAt @t2 @t1)) % 0.39/0.63 (define @t24 () (@list @t2 @t1)) % 0.39/0.63 (define @t25 () (not @t18)) % 0.39/0.63 (define @t26 () (and @t9 @t11)) % 0.39/0.63 (define @t27 () (and @t9 (or @t11 @t4))) % 0.39/0.63 (define @t28 () (tptp.releasedAt @t2 @t1)) % 0.39/0.63 (define @t29 () (tptp.releases @t3 @t2 @t1)) % 0.39/0.63 (define @t30 () (and @t9 @t29)) % 0.39/0.63 (define @t31 () (not @t28)) % 0.39/0.63 (define @t32 () (@list @t3 @t1 @t2)) % 0.39/0.63 (define @t33 () (forall @t32 (=> @t19 @t25))) % 0.39/0.63 (define @t34 () (tptp.happens tptp.push @t1)) % 0.39/0.63 (define @t35 () (= @t2 tptp.spinning)) % 0.39/0.63 (define @t36 () (= @t3 tptp.pull)) % 0.39/0.63 (define @t37 () (not @t34)) % 0.39/0.63 (define @t38 () (= @t2 tptp.backwards)) % 0.39/0.63 (define @t39 () (not (tptp.happens tptp.pull @t1))) % 0.39/0.63 (define @t40 () (= @t2 tptp.forwards)) % 0.39/0.63 (define @t41 () (= @t3 tptp.push)) % 0.39/0.63 (define @t42 () (@list @t3 @t2 @t1)) % 0.39/0.63 (define @t43 () (forall @t42 (= @t4 (or (and @t41 @t38 @t39) (and @t36 @t40 @t37) (and @t36 @t40 @t34) (and @t36 @t38 @t34) (and @t41 @t35 @t39) (and @t36 @t35 @t37))))) % 0.39/0.63 (define @t44 () (= @t1 tptp.n2)) % 0.39/0.63 (define @t45 () (forall @t10 (= @t9 (or (and @t41 (= @t1 tptp.n0)) (and @t36 (= @t1 tptp.n1)) (and @t36 @t44) (and @t41 @t44))))) % 0.39/0.63 (define @t46 () (= tptp.push tptp.pull)) % 0.39/0.63 (define @t47 () (= tptp.forwards tptp.backwards)) % 0.39/0.63 (define @t48 () (= tptp.forwards tptp.spinning)) % 0.39/0.63 (define @t49 () (@var "X" $$unsorted)) % 0.39/0.63 (define @t50 () (@var "Y" $$unsorted)) % 0.39/0.63 (define @t51 () (@list @t49 @t50)) % 0.39/0.63 (define @t52 () (tptp.less @t49 @t50)) % 0.39/0.63 (define @t53 () (@list @t49)) % 0.39/0.63 (define @t54 () (tptp.holdsAt tptp.forwards tptp.n3)) % 0.39/0.63 (define @t55 () (not @t4)) % 0.39/0.63 (define @t56 () (not @t9)) % 0.39/0.63 (define @t57 () (tptp.happens tptp.pull tptp.n2)) % 0.39/0.63 (define @t58 () (= tptp.n1 tptp.n2)) % 0.39/0.63 (define @t59 () (= tptp.n0 tptp.n2)) % 0.39/0.63 (define @t60 () (= tptp.n2 tptp.n2)) % 0.39/0.63 (define @t61 () (= tptp.pull tptp.push)) % 0.39/0.63 (define @t62 () (and @t61 @t60)) % 0.39/0.63 (define @t63 () (= tptp.pull tptp.pull)) % 0.39/0.63 (define @t64 () (and @t63 @t60)) % 0.39/0.63 (define @t65 () (= tptp.n2 tptp.n1)) % 0.39/0.63 (define @t66 () (and @t63 @t65)) % 0.39/0.63 (define @t67 () (= tptp.n2 tptp.n0)) % 0.39/0.63 (define @t68 () (and @t61 @t67)) % 0.39/0.63 (define @t69 () (or @t68 @t66 @t64 @t62)) % 0.39/0.63 (define @t70 () (= @t57 @t69)) % 0.39/0.63 (define @t71 () (@list false)) % 0.39/0.63 (define @t72 () (@list @t45)) % 0.39/0.63 (define @t73 () (tptp.holdsAt tptp.forwards (tptp.plus tptp.n2 tptp.n1))) % 0.39/0.63 (define @t74 () (not @t73)) % 0.39/0.63 (define @t75 () (tptp.terminates tptp.pull tptp.forwards tptp.n2)) % 0.39/0.63 (define @t76 () (not @t75)) % 0.39/0.63 (define @t77 () (not @t57)) % 0.39/0.63 (define @t78 () (or @t77 @t76 @t74)) % 0.39/0.63 (define @t79 () (tptp.happens tptp.push tptp.n2)) % 0.39/0.63 (define @t80 () (= tptp.push tptp.push)) % 0.39/0.63 (define @t81 () (and @t80 @t60)) % 0.39/0.63 (define @t82 () (and @t46 @t60)) % 0.39/0.63 (define @t83 () (and @t46 @t65)) % 0.39/0.63 (define @t84 () (and @t80 @t67)) % 0.39/0.63 (define @t85 () (or @t84 @t83 @t82 @t81)) % 0.39/0.63 (define @t86 () (= @t79 @t85)) % 0.39/0.63 (define @t87 () (not @t79)) % 0.39/0.63 (define @t88 () (and @t48 @t87)) % 0.39/0.63 (define @t89 () (and @t47 @t79)) % 0.39/0.63 (define @t90 () (or (and @t46 @t47 @t77) @t87 @t79 @t89 (and @t46 @t48 @t77) @t88)) % 0.39/0.63 (define @t91 () (and @t63 @t48 @t87)) % 0.39/0.63 (define @t92 () (and @t61 @t48 @t77)) % 0.39/0.63 (define @t93 () (and @t63 @t47 @t79)) % 0.39/0.63 (define @t94 () (= tptp.forwards tptp.forwards)) % 0.39/0.63 (define @t95 () (and @t63 @t94 @t79)) % 0.39/0.63 (define @t96 () (and @t63 @t94 @t87)) % 0.39/0.63 (define @t97 () (and @t61 @t47 @t77)) % 0.39/0.63 (define @t98 () (or @t97 @t96 @t95 @t93 @t92 @t91)) % 0.39/0.63 (define @t99 () (= @t75 @t98)) % 0.39/0.63 (define @t100 () (= @t75 @t90)) % 0.39/0.63 (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4))))) % 0.39/0.63 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11))))) % 0.39/0.63 (assume @p3 (forall (@list @t3 @t1 @t2 @t14 @t12) (=> (and @t9 @t11 (tptp.less tptp.n0 @t12) (tptp.trajectory @t2 @t1 @t14 @t12) (not (tptp.stoppedIn @t1 @t2 @t13))) (tptp.holdsAt @t14 @t13)))) % 0.39/0.63 (assume @p4 (forall (@list @t3 @t7 @t16 @t5 @t14) (=> (and (tptp.happens @t3 @t7) (tptp.terminates @t3 @t16 @t7) (tptp.less tptp.n0 @t5) (tptp.antitrajectory @t16 @t7 @t14 @t5) (not (tptp.startedIn @t7 @t16 @t15))) (tptp.holdsAt @t14 @t15)))) % 0.39/0.63 (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18))) % 0.39/0.63 (assume @p6 (forall @t24 (=> (and (not @t23) @t22 (not (exists @t20 @t26))) @t25))) % 0.39/0.63 (assume @p7 (forall @t24 (=> (and @t28 (not (exists @t20 @t27))) @t21))) % 0.39/0.63 (assume @p8 (forall @t24 (=> (and @t31 (not (exists @t20 @t30))) @t22))) % 0.39/0.63 (assume @p9 (forall @t32 (=> @t26 @t18))) % 0.39/0.63 (assume @p10 @t33) % 0.39/0.63 (assume @p11 (forall @t32 (=> @t30 @t21))) % 0.39/0.63 (assume @p12 (forall @t32 (=> @t27 @t22))) % 0.39/0.63 (assume @p13 (forall @t42 (= @t11 (or (and @t41 @t40 @t39) (and @t36 @t38 @t37) (and @t36 @t35 @t34))))) % 0.39/0.63 (assume @p14 @t43) % 0.39/0.63 (assume @p15 (forall @t42 (not @t29))) % 0.39/0.63 (assume @p16 @t45) % 0.39/0.63 (assume @p17 (not @t46)) % 0.39/0.63 (assume @p18 (not @t47)) % 0.39/0.63 (assume @p19 (not @t48)) % 0.39/0.63 (assume @p20 (not (= tptp.spinning tptp.backwards))) % 0.39/0.63 (assume @p21 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 0.39/0.63 (assume @p22 (= (tptp.plus tptp.n0 tptp.n1) tptp.n1)) % 0.39/0.63 (assume @p23 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.39/0.63 (assume @p24 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.39/0.63 (assume @p25 (= (tptp.plus tptp.n1 tptp.n1) tptp.n2)) % 0.39/0.63 (assume @p26 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.39/0.63 (assume @p27 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.39/0.63 (assume @p28 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.39/0.63 (assume @p29 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.39/0.63 (assume @p30 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.39/0.63 (assume @p31 (forall @t51 (= (tptp.plus @t49 @t50) (tptp.plus @t50 @t49)))) % 0.39/0.63 (assume @p32 (forall @t51 (= (tptp.less_or_equal @t49 @t50) (or @t52 (= @t49 @t50))))) % 0.39/0.63 (assume @p33 (not (exists @t53 (tptp.less @t49 tptp.n0)))) % 0.39/0.63 (assume @p34 (forall @t53 (= (tptp.less @t49 tptp.n1) (tptp.less_or_equal @t49 tptp.n0)))) % 0.39/0.63 (assume @p35 (forall @t53 (= (tptp.less @t49 tptp.n2) (tptp.less_or_equal @t49 tptp.n1)))) % 0.39/0.63 (assume @p36 (forall @t53 (= (tptp.less @t49 tptp.n3) (tptp.less_or_equal @t49 tptp.n2)))) % 0.39/0.63 (assume @p37 (forall @t53 (= (tptp.less @t49 tptp.n4) (tptp.less_or_equal @t49 tptp.n3)))) % 0.39/0.63 (assume @p38 (forall @t53 (= (tptp.less @t49 tptp.n5) (tptp.less_or_equal @t49 tptp.n4)))) % 0.39/0.63 (assume @p39 (forall @t53 (= (tptp.less @t49 tptp.n6) (tptp.less_or_equal @t49 tptp.n5)))) % 0.39/0.63 (assume @p40 (forall @t53 (= (tptp.less @t49 tptp.n7) (tptp.less_or_equal @t49 tptp.n6)))) % 0.39/0.63 (assume @p41 (forall @t53 (= (tptp.less @t49 tptp.n8) (tptp.less_or_equal @t49 tptp.n7)))) % 0.39/0.63 (assume @p42 (forall @t53 (= (tptp.less @t49 tptp.n9) (tptp.less_or_equal @t49 tptp.n8)))) % 0.39/0.63 (assume @p43 (forall @t51 (= @t52 (and (not (tptp.less @t50 @t49)) (not (= @t50 @t49)))))) % 0.39/0.63 (assume @p44 (not (tptp.holdsAt tptp.forwards tptp.n0))) % 0.39/0.63 (assume @p45 (not (tptp.holdsAt tptp.backwards tptp.n0))) % 0.39/0.63 (assume @p46 (not (tptp.holdsAt tptp.spinning tptp.n0))) % 0.39/0.63 (assume @p47 (forall @t24 @t31)) % 0.39/0.63 (assume @p48 (not (not @t54))) % 0.39/0.63 (assume @p49 true) % 0.39/0.63 (step @p50 :rule aci_norm :args ((= (or (or @t56 @t55) @t25) (or @t56 @t55 @t25)))) % 0.39/0.63 (step @p51 :rule refl :args (@t25)) % 0.39/0.63 (step @p52 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.39/0.63 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t19) @t25))) % 0.39/0.63 (step @p54 :rule trans :premises (@p53 @p50)) % 0.39/0.63 (step @p55 :rule bool-impl-elim :args (@t19 @t25)) % 0.39/0.63 (step @p56 :rule trans :premises (@p55 @p54)) % 0.39/0.63 (step @p57 :rule cong :premises (@p56) :args (@t33)) % 0.39/0.63 (step @p58 :rule eq_resolve :premises (@p10 @p57)) % 0.39/0.63 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.pull tptp.n2 tptp.forwards))) % 0.39/0.63 (step @p60 :rule bool-eq-true :args (@t57)) % 0.39/0.63 (step @p61 :rule absorb :args ((= (or (and @t46 @t59) @t58 true @t46) true))) % 0.39/0.63 (step @p62 :rule aci_norm :args ((= (and @t46 true) @t46))) % 0.39/0.63 (step @p63 :rule eq-refl :args (tptp.n2)) % 0.39/0.63 (step @p64 :rule eq-symm :args (tptp.pull tptp.push)) % 0.39/0.63 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t62)) % 0.39/0.63 (step @p66 :rule trans :premises (@p65 @p62)) % 0.39/0.63 (step @p67 :rule evaluate :args ((and true true))) % 0.39/0.63 (step @p68 :rule eq-refl :args (tptp.pull)) % 0.39/0.63 (step @p69 :rule nary_cong :premises (@p68 @p63) :args (@t64)) % 0.39/0.63 (step @p70 :rule trans :premises (@p69 @p67)) % 0.39/0.63 (step @p71 :rule aci_norm :args ((= (and true @t58) @t58))) % 0.39/0.63 (step @p72 :rule eq-symm :args (tptp.n2 tptp.n1)) % 0.39/0.63 (step @p73 :rule nary_cong :premises (@p68 @p72) :args (@t66)) % 0.39/0.63 (step @p74 :rule trans :premises (@p73 @p71)) % 0.39/0.63 (step @p75 :rule eq-symm :args (tptp.n2 tptp.n0)) % 0.39/0.63 (step @p76 :rule nary_cong :premises (@p64 @p75) :args (@t68)) % 0.39/0.63 (step @p77 :rule nary_cong :premises (@p76 @p74 @p70 @p66) :args (@t69)) % 0.39/0.63 (step @p78 :rule trans :premises (@p77 @p61)) % 0.39/0.63 (step @p79 :rule refl :args (@t57)) % 0.39/0.63 (step @p80 :rule cong :premises (@p79 @p78) :args (@t70)) % 0.39/0.63 (step @p81 :rule trans :premises (@p80 @p60)) % 0.39/0.63 (step @p82 :rule refl :args (@t45)) % 0.39/0.63 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t45 @t70))) % 0.39/0.63 (assume-push @p166 @t45) % 0.39/0.63 (step @p85 :rule instantiate :premises (@p16) :args ((@list tptp.pull tptp.n2))) % 0.39/0.63 (step-pop @p167 :rule scope :premises (@p85)) % 0.39/0.63 (step @p86 :rule process_scope :premises (@p167) :args (@t70)) % 0.39/0.63 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.39/0.63 (step @p89 :rule implies_elim :premises (@p88)) % 0.39/0.63 (step @p90 :rule chain_m_resolution :premises (@p89 @p16) :args (@t57 @t71 @t72)) % 0.39/0.63 (step @p91 :rule bool-double-not-elim :args (@t54)) % 0.39/0.63 (step @p92 :rule eq_resolve :premises (@p48 @p91)) % 0.39/0.63 (step @p93 :rule true_intro :premises (@p92)) % 0.39/0.63 (step @p94 :rule instantiate :premises (@p31) :args ((@list tptp.n1 tptp.n2))) % 0.39/0.63 (step @p95 :rule symm :premises (@p94)) % 0.39/0.63 (step @p96 :rule trans :premises (@p95 @p26)) % 0.39/0.63 (step @p97 :rule refl :args (tptp.forwards)) % 0.39/0.63 (step @p98 :rule cong :premises (@p97 @p96) :args (@t73)) % 0.39/0.63 (step @p99 :rule trans :premises (@p98 @p93)) % 0.39/0.63 (step @p100 :rule true_elim :premises (@p99)) % 0.39/0.63 (step @p101 :rule cnf_or_pos :args (@t78)) % 0.39/0.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t74 @t77 @t76 (not @t78)))) % 0.39/0.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p90 @p59) :args (@t76 (@list false false false) (@list @t73 @t57 @t78))) % 0.39/0.63 (step @p104 :rule bool-eq-true :args (@t79)) % 0.39/0.63 (step @p105 :rule absorb :args ((= (or @t59 (and @t46 @t58) @t46 true) true))) % 0.39/0.63 (step @p106 :rule eq-refl :args (tptp.push)) % 0.39/0.63 (step @p107 :rule nary_cong :premises (@p106 @p63) :args (@t81)) % 0.39/0.63 (step @p108 :rule trans :premises (@p107 @p67)) % 0.39/0.63 (step @p109 :rule refl :args (@t46)) % 0.39/0.63 (step @p110 :rule nary_cong :premises (@p109 @p63) :args (@t82)) % 0.39/0.63 (step @p111 :rule trans :premises (@p110 @p62)) % 0.39/0.63 (step @p112 :rule nary_cong :premises (@p109 @p72) :args (@t83)) % 0.39/0.63 (step @p113 :rule aci_norm :args ((= (and true @t59) @t59))) % 0.39/0.63 (step @p114 :rule nary_cong :premises (@p106 @p75) :args (@t84)) % 0.39/0.63 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.63 (step @p116 :rule nary_cong :premises (@p115 @p112 @p111 @p108) :args (@t85)) % 0.39/0.63 (step @p117 :rule trans :premises (@p116 @p105)) % 0.39/0.63 (step @p118 :rule refl :args (@t79)) % 0.39/0.63 (step @p119 :rule cong :premises (@p118 @p117) :args (@t86)) % 0.39/0.63 (step @p120 :rule trans :premises (@p119 @p104)) % 0.39/0.63 (step @p121 :rule cong :premises (@p82 @p120) :args ((=> @t45 @t86))) % 0.39/0.63 (assume-push @p168 @t45) % 0.39/0.63 (step @p123 :rule instantiate :premises (@p16) :args ((@list tptp.push tptp.n2))) % 0.39/0.63 (step-pop @p169 :rule scope :premises (@p123)) % 0.39/0.63 (step @p124 :rule process_scope :premises (@p169) :args (@t86)) % 0.39/0.63 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.39/0.63 (step @p127 :rule implies_elim :premises (@p126)) % 0.39/0.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p16) :args (@t79 @t71 @t72)) % 0.39/0.63 (step @p129 :rule cnf_or_neg :args (@t90 2)) % 0.39/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t87 @t90))) % 0.39/0.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t90 @t71 (@list @t79))) % 0.39/0.63 (step @p132 :rule aci_norm :args ((= (and true @t48 @t87) @t88))) % 0.39/0.63 (step @p133 :rule refl :args (@t87)) % 0.39/0.63 (step @p134 :rule refl :args (@t48)) % 0.39/0.63 (step @p135 :rule nary_cong :premises (@p68 @p134 @p133) :args (@t91)) % 0.39/0.63 (step @p136 :rule trans :premises (@p135 @p132)) % 0.39/0.63 (step @p137 :rule refl :args (@t77)) % 0.39/0.63 (step @p138 :rule nary_cong :premises (@p64 @p134 @p137) :args (@t92)) % 0.39/0.63 (step @p139 :rule aci_norm :args ((= (and true @t47 @t79) @t89))) % 0.39/0.63 (step @p140 :rule refl :args (@t47)) % 0.39/0.63 (step @p141 :rule nary_cong :premises (@p68 @p140 @p118) :args (@t93)) % 0.39/0.63 (step @p142 :rule trans :premises (@p141 @p139)) % 0.39/0.63 (step @p143 :rule aci_norm :args ((= (and true true @t79) @t79))) % 0.39/0.63 (step @p144 :rule eq-refl :args (tptp.forwards)) % 0.39/0.63 (step @p145 :rule nary_cong :premises (@p68 @p144 @p118) :args (@t95)) % 0.39/0.63 (step @p146 :rule trans :premises (@p145 @p143)) % 0.39/0.63 (step @p147 :rule aci_norm :args ((= (and true true @t87) @t87))) % 0.39/0.63 (step @p148 :rule nary_cong :premises (@p68 @p144 @p133) :args (@t96)) % 0.39/0.63 (step @p149 :rule trans :premises (@p148 @p147)) % 0.39/0.63 (step @p150 :rule nary_cong :premises (@p64 @p140 @p137) :args (@t97)) % 0.39/0.63 (step @p151 :rule nary_cong :premises (@p150 @p149 @p146 @p142 @p138 @p136) :args (@t98)) % 0.39/0.63 (step @p152 :rule refl :args (@t75)) % 0.39/0.63 (step @p153 :rule cong :premises (@p152 @p151) :args (@t99)) % 0.39/0.63 (step @p154 :rule refl :args (@t43)) % 0.39/0.63 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t43 @t99))) % 0.39/0.63 (assume-push @p170 @t43) % 0.39/0.63 (step @p157 :rule instantiate :premises (@p14) :args ((@list tptp.pull tptp.forwards tptp.n2))) % 0.39/0.63 (step-pop @p171 :rule scope :premises (@p157)) % 0.39/0.63 (step @p158 :rule process_scope :premises (@p171) :args (@t99)) % 0.39/0.63 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 0.39/0.63 (step @p161 :rule implies_elim :premises (@p160)) % 0.39/0.63 (step @p162 :rule chain_m_resolution :premises (@p161 @p14) :args (@t100 @t71 (@list @t43))) % 0.39/0.63 (step @p163 :rule cnf_equiv_pos2 :args (@t100)) % 0.39/0.63 (step @p164 :rule reordering :premises (@p163) :args ((or @t75 (not @t90) (not @t100)))) % 0.39/0.63 (step @p165 false :rule chain_m_resolution :premises (@p164 @p162 @p131 @p103) :args (false (@list false false true) (@list @t100 @t90 @t75))) % 0.39/0.63 ) % 0.39/0.63 % SZS output end Proof % 0.39/0.63 % cvc5 exiting %------------------------------------------------------------------------------